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Analysis of extrapolation cascadic multigrid method(EXCMG) 被引量:23

Analysis of extrapolation cascadic multigrid method(EXCMG)
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摘要 Based on an asymptotic expansion of finite element,a new extrapolation formula and extrapolation cascadic multigrid method(EXCMG)are proposed,in which the new extrapolation and quadratic interpolation are used to provide a better initial value on refined grid.In the case of triple grids,the error of the new initial value is analyzed in detail.A larger scale computation is completed in PC. Based on an asymptotic expansion of finite element, a new extrapolation formula and extrapolation cascadic multigrid method (EXCMG) are proposed, in which the new extrapolation and quadratic interpolation are used to provide a better initial value on refined grid. In the case of triple grids, the error of the new initial value is analyzed in detail. A larger scale computation is completed in PC.
出处 《Science China Mathematics》 SCIE 2008年第8期1349-1360,共12页 中国科学:数学(英文版)
基金 the National Natural Science Foundation of China(Grant Nos.10771063,10571053) Doctoral Programme of National Education Ministry of China(Grant No.20050542006) Programme for New Century Excellent Talents in University(Grant No.NCET-060712)
关键词 cascadic multigrid finite element new extrapolation error analysis 65N30 cascadic multigrid finite element new extrapolation error analysis
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参考文献2

  • 1石钟慈,许学军.A new cascadic multigrid[J].Science China Mathematics,2001,44(1):21-30. 被引量:1
  • 2Zhong-ci SHI~1 Xue-jun XU~(1+) Yun-qing HUANG~2 ~1 LSEC,Institute of Computational Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,China,~2 Hunan Key Laboratory for Computation and Simulation in Science and Engineering,Institute for Computational and Applied Mathematics,Xiangtan University,Xiangtan 411105,China.Economical cascadic multigrid method (ECMG)[J].Science China Mathematics,2007,50(12):1765-1780. 被引量:14

二级参考文献15

  • 1Zhong-ci Shi, Xue-jun Xu (State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics, Chinese Academy of Sciences, Beijing 100080, China).CASCADIC MULTIGRID FOR PARABOLIC PROBLEMS CASCADIC MULTIGRID FOR PARABOLIC PROBLEMS[J].Journal of Computational Mathematics,2000,18(5):551-560. 被引量:18
  • 2Zhong-ciShi,Xue-junXu,Hong-yingMan].CASCADIC MULTIGRID FOR FINITE VOLUME METHODS FOR ELLIPTIC PROBLEMS[J].Journal of Computational Mathematics,2004,22(6):905-920. 被引量:4
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